Problem: Kana was just an ordinary high school girl before a talent scout discovered her. Then, she became an idol. But different from the stereotype, she is also a gameholic. 

One day Kana gets interested in a new adventure game called Dragon Quest. In this game, her quest is to beat a dragon.

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The dragon has a hit point of x initially. When its hit point goes to 0 or under 0, it will be defeated. In order to defeat the dragon, Kana can cast the two following types of spells. 

  * Void Absorption

Assume that the dragon's current hit point is h, after casting this spell its hit point will become \left⌊ h/2 \right⌋ + 10. Here \left⌊ h/2 \right⌋ denotes h divided by two, rounded down.

  * Lightning Strike

This spell will decrease the dragon's hit point by 10. Assume that the dragon's current hit point is h, after casting this spell its hit point will be lowered to h-10.




Due to some reasons Kana can only cast no more than n Void Absorptions and m Lightning Strikes. She can cast the spells in any order and doesn't have to cast all the spells. Kana isn't good at math, so you are going to help her to find out whether it is possible to defeat the dragon.

Input

The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.

The next t lines describe test cases. For each test case the only line contains three integers x, n, m (1≤ x ≤ 10^5, 0≤ n,m≤30) — the dragon's intitial hit point, the maximum number of Void Absorptions and Lightning Strikes Kana can cast respectively.

Output

If it is possible to defeat the dragon, print "YES" (without quotes). Otherwise, print "NO" (without quotes).

You can print each letter in any case (upper or lower).

Example

Input


7
100 3 4
189 3 4
64 2 3
63 2 3
30 27 7
10 9 1
69117 21 2


Output


YES
NO
NO
YES
YES
YES
YES

Note

One possible casting sequence of the first test case is shown below:

  * Void Absorption \left⌊ 100/2 \right⌋ + 10=60.
  * Lightning Strike 60-10=50.
  * Void Absorption \left⌊ 50/2 \right⌋ + 10=35.
  * Void Absorption \left⌊ 35/2 \right⌋ + 10=27.
  * Lightning Strike 27-10=17.
  * Lightning Strike 17-10=7.
  * Lightning Strike 7-10=-3.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class CF_635_Div2 {

	static class Reader {

		private InputStream mIs;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;

		public Reader() {
			this(System.in);
		}

		public Reader(InputStream is) {
			mIs = is;
		}

		public int read() {
			if (numChars == -1) {
				throw new InputMismatchException();

			}
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = mIs.read(buf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (numChars <= 0) {
					return -1;
				}
			}
			return buf[curChar++];
		}

		public String nextLine() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isEndOfLine(c));
			return res.toString();
		}

		public String next() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			StringBuilder res = new StringBuilder();
			do {
				res.appendCodePoint(c);
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		public long nextLong() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			long res = 0;
			do {
				if (c < '0' || c > '9') {
					throw new InputMismatchException();
				}
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public int nextInt() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			int res = 0;
			do {
				if (c < '0' || c > '9') {
					throw new InputMismatchException();
				}
				res *= 10;
				res += c - '0';
				c = read();
			} while (!isSpaceChar(c));
			return res * sgn;
		}

		public int[] intArray(int n) {
			Reader r = new Reader();
			int arr[] = new int[n];
			for (int i = 0; i < n; i++) {
				arr[i] = r.nextInt();
			}
			return arr;
		}

		public long[] longArray(int n) {
			Reader r = new Reader();
			long arr[] = new long[n];
			for (int i = 0; i < n; i++) {
				arr[i] = r.nextInt();
			}
			return arr;
		}

		public void printArray(int arr[]) {
			PrintWriter out = new PrintWriter(System.out);
			for (int i = 0; i < arr.length; i++) {
				if (i == arr.length - 1)
					out.println(arr[i]);
				else
					out.print(arr[i] + " ");
			}
			out.close();
		}

		public boolean isSpaceChar(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		public boolean isEndOfLine(int c) {
			return c == '\n' || c == '\r' || c == -1;
		}
	}

	static Reader r = new Reader();

	private static void solve1() {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int a = r.nextInt();
			int b = r.nextInt();
			int c = r.nextInt();
			int d = r.nextInt();

			String ans = "" + b + " " + c + " " + c;

			res.append(ans).append("\n");
		}

		System.out.print(res);

	}

	private static void solve2() {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int x = r.nextInt();
			int n = r.nextInt();
			int m = r.nextInt();

			int first = n;
			int second = m;

			while ((first > 0 || second > 0)) {
				if (x > 20) {
					if (first > 0) {
						x = ((x / 2) + 10);
						first--;
					} else if (second > 0) {
						x -= 10;
						second--;
					}
				} else {
					if (second > 0) {
						x -= 10;
						second--;
					} else if (first > 0) {
						x = ((x / 2) + 10);
						first--;
					}
				}

				if (x <= 0) {
					break;
				}

			}

			res.append((x <= 0) ? "YES" : "NO").append("\n");
		}

		System.out.print(res);

	}

	private static void solve3() {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int n = r.nextInt();

			res.append(false).append("\n");
		}

		System.out.print(res);

	}

	private static void solve4() {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int n = r.nextInt();

			res.append(false).append("\n");
		}

		System.out.print(res);

	}

	public static void main(String[] args) throws IOException {

//		solve1();

		solve2();

//		solve3();

//		solve4();

	}

}